• 제목/요약/키워드: finite Fourier transformation

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영상흐림보정에서 EM 알고리즘의 일반해: 반복과정을 사용하지 않는 영상복원 (An Explicit Solution of EM Algorithm in Image Deblurring: Image Restoration without EM iterations)

  • 김승구
    • Communications for Statistical Applications and Methods
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    • 제16권3호
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    • pp.409-419
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    • 2009
  • 본 연구에서는 영상흐림보정를 위한 EM 알고리즘의 일반형 해를 제공한다. 주어진 관측영상의 크기가 크거나 많은 반복을 필요로 할 때, EM 알고리즘의 반복은 매우 오랜시간이 걸리며 비실용적이다. 본 연구에서는 복원 영상의 유효영역 밖에서 약간의 근사로부터 해를 일반형으로 나타내고, 이것을 이산형 유한 푸리에 변환을 이용하여 EM 알고리즘의 반복과정을 사용하지 않으면서 매우 유효한 복원영상을 즉시 계산하는 방법을 제공한다.

일정가속도(一定加速度)의 이동하중(移動荷重)과 축하중(軸荷重)이 작용(作用)하는 유한(有限)보의 동특성(動特性) (Dynamic Characteristics of a Finite Beam Subjected to an Axial Force and Moving Loads with Constant Acceleration)

  • 홍동표
    • 대한토목학회논문집
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    • 제2권3호
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    • pp.67-74
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    • 1982
  • 일정가속도(一定加速度)의 이동하중(移動荷重)과 축하중(軸荷重)이 작용(作用)하는 탄성기초(彈性基礎)위에 지지(支持)된 유한(有限)보의 동특성(動特性)을 연구(硏究)하였다. Euler보 이론(理論)을 이용(利用)하여 공간좌표(空間座標)에 관(關)하여는 Fourier 변환(變換)을 하고 시간(時間)에 관(關)하여는 Laplace 변환(變換)을 하여 해(解)를 구(求)하였다. 이론해석(理論解析) 결과(結果)에 포함(包含)된 적분(積分)은 Simpson's Rule에 의하여 구(求)하였다. 이론해석(理論解析) 결과(結果)로부터 보의 동특성(動特性)은 가속도(加速度)와 축하중(軸荷重)에 의하여 크게 영향(影響)을 받는다는 것을 밝혔다.

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변분법을 이용한 확률론적 유한요소법에 관한 연구 (A Study on the Stochastic Finite Element Method Based on Variational Approach)

  • 배동명;김경열
    • 수산해양기술연구
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    • 제32권4호
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    • pp.432-446
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    • 1996
  • A stochastic Hamilton variational principle(SHVP) is formulated for dynamic problems of linear continuum. The SHVP allows incorporation of probabilistic distributions into the finite element analysis. The formulation is simplified by transformation of correlated random variables to a set of uncorrelated random variables through a standard eigenproblem. A procedure based on the Fourier analysis and synthesis is presented for eliminating secularities from the perturbation approach. In addition to, a method to analyse stochastic design sensitivity for structural dynamics is present. A combination of the adjoint variable approach and the second order perturbation method is used in the finite element codes. An alternative form of the constraint functional that holds for all times is introduced to consider the time response of dynamic sensitivity. The algorithms developed can readily be adapted to existing deterministic finite element codes. The numerical results for stochastic analysis by proceeding approach of cantilever, 2D-frame and 3D-frame illustrates in this paper.

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균열의 고조파 발생에 대한 유한요소해석 (Finite Element Analysis of Harmonics Generation by Cracks)

  • 양승용;김노유
    • 한국전산구조공학회논문집
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    • 제22권6호
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    • pp.573-577
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    • 2009
  • 균열에 초음파가 입사될 경우, 반사파와 투과파가 발생한다. 균열에 의해 발생한 반사파와 투과파는 구조물 내부의 균열을 검출하기 위한 유용한 정보로 사용된다. 본 논문에서는 유한요소해석을 이용하여, 4가지 균열의 경사각도에 대해 균열주위의 모니터링 포인트에서의 동적변위를 계산하였다. 이를 바탕으로 푸리에 변환을 적용시켜 균열 주위에서 위치에 따라 주파수 특성이 변하는 경향을 조사하였다. 모델은 2차원 평면응력 경우를 고려하였고, 유한요소해석 프로그램은 ABAQUS/Explicit을 사용하였다.

Effective time-frequency characterization of Lamb wave dispersion in plate-like structures with non-reflecting boundaries

  • Wang, Zijian;Qiao, Pizhong;Shi, Binkai
    • Smart Structures and Systems
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    • 제21권2호
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    • pp.195-205
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    • 2018
  • Research on Lamb wave-based damage identification in plate-like structures depends on precise knowledge of dispersive wave velocity. However, boundary reflections with the same frequency of interest and greater amplitude contaminate direct waves and thus compromise measurement of Lamb wave dispersion in different materials. In this study, non-reflecting boundaries were proposed in both numerical and experimental cases to facilitate time-frequency characterization of Lamb wave dispersion. First, the Lamb wave equations in isotropic and laminated materials were analytically solved. Second, the non-reflecting boundaries were used as a series of frames with gradually increased damping coefficients in finite element models to absorb waves at boundaries while avoiding wave reflections due to abrupt property changes of each frame. Third, damping clay was sealed at plate edges to reduce the boundary reflection in experimental test. Finally, the direct waves were subjected to the slant-stack and short-time Fourier transformations to calculate the dispersion curves of phase and group velocities, respectively. Both the numerical and experimental results suggest that the boundary reflections are effectively alleviated, and the dispersion curves generated by the time-frequency analysis are consistent with the analytical solutions, demonstrating that the combination of non-reflecting boundary and time-frequency analysis is a feasible and reliable scheme for characterizing Lamb wave dispersion in plate-like structures.

鐘形셀의 두께變化 및 非對稱效果에 따른 振動모우드 解析에 관한 硏究 (Modal Analysis of the Bell Type Shell with Thickness and Asymmetric Effects)

  • 정석주;공창덕;염영하
    • 대한기계학회논문집
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    • 제10권3호
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    • pp.383-391
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    • 1986
  • 본 논문에서는 이들 기본모우드형태가 검토되었고 또한 두께효과와 비대칭성 효과에 따른 고유진동주파수, 모우드형태, 울림주파수의 변화를 수치적 해석과 실험 적 해석방법에 의해 비교검토되었다. 수치해석방법은 유한요소법으로 이용된 프로그 램은 NASTRAN 프로그램이고 모우드의 형태는 Tectronics컴퓨터그래픽을 이용하여 나타 내었다. 실험적방법은 충격햄머법과 F.F.T. 분석장치(Fast Fourier Transformation Analyzer)를 이용하였다.

On the receding contact between a two-layer inhomogeneous laminate and a half-plane

  • Liu, Zhixin;Yan, Jie;Mi, Changwen
    • Structural Engineering and Mechanics
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    • 제66권3호
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    • pp.329-341
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    • 2018
  • This paper considers the smooth receding contact problem between a homogeneous half-plane and a composite laminate composed of an inhomogeneously coated elastic layer. The inhomogeneity of the elastic modulus of the coating is approximated by an exponential function along the thickness dimension. The three-component structure is pressed together by either a concentrated force or uniform pressures applied at the top surface of the composite laminate. Both semianalytical and finite element analysis are performed to solve for the extent of contact and the contact pressure. In the semianalytical formulation, Fourier integral transformation of governing equations and boundary conditions leads to a singular integral equation of Cauchy-type, which can be numerically integrated by Gauss-Chebyshev quadrature to a desired degree of accuracy. In the finite element modeling, the functionally graded coating is divided into homogeneous sublayers and the shear modulus of each sublayer is assigned at its lower boundary following the predefined exponential variation. In postprocessing, the stresses of any node belonging to sublayer interfaces are averaged over its surrounding elements. The results obtained from the semianalytical analysis are successfully validated against literature results and those of the finite element modeling. Extensive parametric studies suggest the practicability of optimizing the receding contact peak stress and the extent of contact in multilayered structures by the introduction of functionally graded coatings.

Thermo-Elastic Analysis for Chattering Phenomenon of Automotive Disk Brake

  • Cho, Chongdu;Ahn, Sooick
    • Journal of Mechanical Science and Technology
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    • 제15권5호
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    • pp.569-579
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    • 2001
  • This study investigates the effects of operating conditions on the chattering of an automotive disk brake by experimental and computational methods. Design factors, which cause chattering in automobiles, have attracted great attentions for long time; but they are not well understood yet. For this study, we construct a brake dynamometer for measuring the disk surface temperature during chattering, and propose an efficient hybrid algorithm (combining FFT-FEA and traditional FEA program) for analyzing the thermo-elastic behavior of three-dimensional brake system. We successfully measure the judder in a brake system via the dynamometer and efficiently simulate the contact pressure variation by the hybrid algorithm. The three-dimensional simulation of thermo-mechanical interactions on the automotive brake, showing the transient thermo-elastic instability phenomenon, is presented for the first time in this academic community. We also find from the experimental study that the disk bulk temperature strongly influences the brake chattering in the automotive disk brakes.

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이론 해를 이용한 층간 분리된 적층판의 충격거동 해석 (Impact response analysis of delaminated composite laminates using analytical solution)

  • 김성준;신정우;채동철
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회A
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    • pp.315-320
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    • 2007
  • An analytical solution has been developed for the impact response of delaminated composite plates. The analysis is based on an expansion of loads, displacements, and rotations in a Fourier series which satisfies the end boundary conditions of simply-supported. The analytical formulation adopts the Laplace transformation technique, requiring a linearization of contact deformation. In this paper, the nonlinear contact stiffness is replaced by a linearized stiffness, to provide an estimate of the additional compliance due to contact area deformation effects. It has been shown that defects such as delaminations may be modeled as spring stiffness. The change in the impact characteristics as this spring stiffness has been investigated theoretically. Predicted impact responses using analytical solution are compared with the numerical ones from the 3-D non-linear finite element model. From the results, it is shown that analytical solution was found to be reliable for predicting the impact response.

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Experimental response function of a photoelectron spectrometer

  • Moonsup Han;Shin, Hye-Yeong;S.J. Oh
    • Journal of Korean Vacuum Science & Technology
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    • 제3권2호
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    • pp.107-111
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    • 1999
  • We developed the experimental function (ERF) which can be used for the numerical curve fitting analysis in photoelectron spectroscopy (PES). We selected the core-levels of Ag 3d5/2 and Au 4f7/2 to obtain the ERF from the measured core-level spectra. For the numerical fourier transformation we applied the fast transform (FFT) algorithm. we considered optical (Wiener) filtering with the FFT due to noise and used Hann window function to remedy the information leakage in frequency domain due to discrete and finite sampling of measurement. The comparison of the curve fitting results using the ERF obtained in this work and the mathematical response function with a gaussian in the conventional approach shows clearly the improvement of the curve fitting analysis.

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